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functional    
相关语句
  泛函
    A Triangular Displacement Element Based on Modified Potential Energy Functional
    基于修正势能泛函的三角形薄板位移元
短句来源
    Density Functional Theory for Density Profile of Fluid Confined in Slit
    硬壁狭缝中流体密度分布的密度泛函理论
短句来源
    Iterative methods for solving vibration equations based on functional variation
    基于泛函变分的求解振动方程的迭代方法
短句来源
    Density Functional Theory for the Density Profile of Hard- Sphere Chain Fluid Near Solid Plate and Spherical Solid Particle Surface
    硬球链流体在平板和硬球表面分布的密度泛函理论
短句来源
    Fractures are analysed with the variational problem of energy functional and the boundary variational theorem of an arbitrary element for nonlinear solids is established, i.e.the equilibrium condition on the dynamics for the crack extension.
    用能量泛函变分理论分析了断裂问题 ,建立了非线性固体任意元素的边界变分定理 ,即裂纹扩展时 ,处于动力平衡状态的条件。
短句来源
  函数的
    In this paper, using complex functional theory, the authors turn the potential flow around the surface irregulai ities in a pressure conduit and semi-infinite platforms into Dirichlet problem.
    本文应用复变函数理论,把管道中的突体绕流及半无限升坎绕流的流速分布和压力分布的计算问题化为上半平面解析函数的Dirichlet边值问题。
短句来源
    In this paper, the method of Block - Pulse Functions is used to directly slove the minimum value of energy, functional of bending beams, A new computer method for calculating deflection and slope of beams is proposd.
    本文应用方块脉冲函数方法直接求解直梁弯曲的能量泛函极值,给出了计算挠度和转角函数的一种新的计算机方法。
短句来源
    A new generalized variational principle in classical thin plate theory is proposed with deflection, transverse shear deformation, curvature, internal moment, transverse shearing force and unknown boundary reaction as argument functions. By applying slight restrictions to the argument functions, the new functional possesses the property of consecutive alternate max min.
    本文在薄板弯曲的经典理论中提出一个以挠度、横向剪应变、曲率、弯矩、横向剪力、边界上的未知反力为自变函数的新的变分原理,在对自变函数预加不严厉的约束后,新泛函具有一连串交替max,min的性质。
短句来源
    (4) to establish the minimizing functional by the introduction of the set of admissible weight functions to the original space-time domain .
    (4)通过引进相容权函数的集合构造原空-时间域的极小化泛函。
短句来源
    The minimum value of the functional analysis of the energy in elastic compressed bars are directly solved by means of the properties of the block_pulse functions. A new numerical method for calculating the critical load of elastic compressed bars is obtained. This method is characterized by its convenience of calculation and computer processing.
    利用方块脉冲函数的运算性质直接求解弹性压杆的能量泛函极值,得到计算弹性压杆临界载荷的一种新的数值方法.这种方法具有计算简洁、便于计算机处理的特点,有很好的工程应用价值.
短句来源
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  functional
The proof involves showing that a nonsymmetric version of the relevant integral is annihilated by a suitable ideal of the affine Hecke algebra, and that any such annihilated functional satisfies the desired vanishing property.
      
In this paper we analyze solutions of the n-scale functional equation Ф(x) = Σk∈?Pk Ф(nx-k), where n≥2 is an integer, the coefficients {Pk} are nonnegative and Σpk = 1.
      
Our main tool is a pointwise equality, relating a function f, and the associated functional g*(f), which has the form f2=h(f)+g*2(f), where h(f) is an explicit function.
      
The Fourier transform is related to a specific system of functional equations whose analytic solution is unique except for a multiplicative constant.
      
In Kolwankar and Lévy Véhel, new functional spaces, denoted $K^{s,s'}_{x_0}$, were
      
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Local effects in the theory of elasticity are divided into two kinds in this paper. The one is induced by small rigidities and the other by small flexibilities. It is pointed out that these two kinds of local effects are essentially related to the principle of minimum potential energy and the principle of minimum complementary energy respectively. The main conclusion of this paper are as follows. When a problem of the theory of elasticity is formulated in variational principles, rigidities enter into the functional...

Local effects in the theory of elasticity are divided into two kinds in this paper. The one is induced by small rigidities and the other by small flexibilities. It is pointed out that these two kinds of local effects are essentially related to the principle of minimum potential energy and the principle of minimum complementary energy respectively. The main conclusion of this paper are as follows. When a problem of the theory of elasticity is formulated in variational principles, rigidities enter into the functional of potentially energy as parameters, and flexibilites enter into the functional of complementary energy as parameters. When one of these parameters approaches zero, the corresponding functional may degenerate such that the class of admissible functions is enlarged. When the solution of the degenerate problem consists of admissible functions of the original functional, there is no local effect. In this case, the solution of the original problem approaches uniformly to that of the degenerate problem as the parameter approaches zero. When the solution of the degenerate problem is not admissible in the original functional, there are some local effects.

本文指出,在有局部效应的弹性力学问题中,能量法的收敛速度较差.文中说明了根据最小势能原理和最小余能原理判别有无局部效应的方法.

This paper presents an approximate method to obtain the maximum residual deformation for impulsively loaded rigid-plastic structures. It is proved that the vanishing of the first variation of the functional J is equivalent to all the equations which should be satisfied in the dynamics of rigid-plastic continua. Under special conditions this generalized variational principle coincides with the previous two extremum principles[2,3]. We have applied our variational principle to the simply supported beam loaded...

This paper presents an approximate method to obtain the maximum residual deformation for impulsively loaded rigid-plastic structures. It is proved that the vanishing of the first variation of the functional J is equivalent to all the equations which should be satisfied in the dynamics of rigid-plastic continua. Under special conditions this generalized variational principle coincides with the previous two extremum principles[2,3]. We have applied our variational principle to the simply supported beam loaded by rectangular pulse and found that the results are much closer to the exact solution than those from the upper bound theorem[4] and lower bound theorem[5] in the rigid-plastic dynamics.

本文给出一个利用一般变分原理来求刚塑性结构在冲击载荷作用下最大残余变形的近似方法.证明了泛函J的一次变分为零相当于满足刚塑性体动力学的全部方程.在特殊情况下,新的一般变分原理将与已有的两个极值原理~[2,3]相重合.通过简支梁受均布矩形冲击载荷作用来作为实例应用,说明本法与已有的刚塑性动力学的上限~[4]与下限~[5]定理相比,更接近于完全解的结果.

Variational principles of minimum potential energy and complementary energy of linear polar elasticity has been formulated by Nowacki [3 ]. As it has been proved by Chien Wei-zang, that the two generalized variational principles are equivalent in functional, wo now apply this important statement Chien's theorem, and Lagrange's method of multipliers to the establishing of generalized variational principle in polar elasticity for finite deformation. The fundamental equations of mechanics of finite deformation...

Variational principles of minimum potential energy and complementary energy of linear polar elasticity has been formulated by Nowacki [3 ]. As it has been proved by Chien Wei-zang, that the two generalized variational principles are equivalent in functional, wo now apply this important statement Chien's theorem, and Lagrange's method of multipliers to the establishing of generalized variational principle in polar elasticity for finite deformation. The fundamental equations of mechanics of finite deformation used are of which has been established in the author's paper [7], [4 ].

应用Lagrange乘子法和钱伟长证明的两类广义变分原理的等价定理,在本文中导出有限变形极矩弹性力学的广义变分原理.文中采用了在拖带坐标系描述法建立的有限变形应变张量(称为Biot有限变形应变定义的准确形式)和应变速率定义与拖带系应力张量构成完整的数学描述.

 
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